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Finding the Third Proportional to 8,670.80 and 18,657.53

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Solution

The third proportional to 8,670.80 and 18,657.53 is: 40,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.80 : 18,657.53 = 18,657.53 : x
  2. Step 2: Convert to fraction form
    8,670.80/18,657.53 = 18,657.53/x
  3. Step 3: Cross multiply
    8,670.80x = 18,657.53 × 18,657.53
  4. Step 4: Simplify right side
    8,670.80x = 348,103,326.58
  5. Step 5: Solve for x
    x = 348,103,326.58/8,670.80
  6. Step 6: Final answer
    x = 40,146.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.